Nodal lines and nodal loops in non-symmorphic odd-parity superconductors

Abstract

We discuss the nodal structure of odd-parity superconductors in the presence of non-symmorphic crystal symmetries, both with and without spin-orbit coupling, and with and without time reversal symmetry. We comment on the relation of our work to previous work in the literature, and also the implications for unconventional superconductors such as UPt${}_3$.

6 pages, 2 figures

References in corpus (5)

• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Topological Blount's theorem of odd-parity superconductors
• Topologically stable gapless phases in nonsymmorphic superconductors
• The Fermi surface and f-valence electron count of UPt3
• Symmetry protected line nodes in non-symmorphic magnetic space groups: Applications to UCoGe and UPd${}_2$Al${}_3$

Cited by in corpus (6)

• Möbius topological superconductivity in UPt${}_3$
• Symmetry-based approach to nodal structures: Unification of compatibility relations and gapless point classifications
• Intrinsic ac anomalous Hall effect of nonsymmorphic chiral superconductors with an application to $\mathrm{UP}{\mathrm{t}}_3$
• Superconductivity of anomalous pseudospin
• Topological gapless points in superconductors: From the viewpoint of symmetry
• Supercurrent-Induced Weyl Superconductivity